Combining Texts

All the ideas for 'fragments/reports', 'The Putney Debates' and 'Isolation and Non-arbitrary Division'

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8 ideas

6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / a. Units
Objects do not naturally form countable units [Koslicki]
     Full Idea: Objects do not by themselves naturally fall into countable units.
     From: Kathrin Koslicki (Isolation and Non-arbitrary Division [1997], 2.2)
     A reaction: Hm. This seems to be modern Fregean orthodoxy. Why did the institution of counting ever get started if the things in the world didn't demand counting? Even birds are aware of the number of eggs in their nest (because they miss a stolen one).
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
We can still count squares, even if they overlap [Koslicki]
     Full Idea: The fact that there is overlap does not seem to inhibit our ability to count squares.
     From: Kathrin Koslicki (Isolation and Non-arbitrary Division [1997], 2.2)
     A reaction: She has a diagram of three squares overlapping slightly at their corners. Contrary to Frege, these seems to depend on a subliminal concept of the square that doesn't depend on language.
There is no deep reason why we count carrots but not asparagus [Koslicki]
     Full Idea: Why do speakers of English count carrots but not asparagus? There is no 'deep' reason.
     From: Kathrin Koslicki (Isolation and Non-arbitrary Division [1997])
     A reaction: Koslick is offering this to defend the Fregean conceptual view of counting, but what seems to matter is what is countable, and not whether we happen to count it. You don't need to know what carrots are to count them. Cooks count asparagus.
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / d. Counting via concepts
We struggle to count branches and waves because our concepts lack clear boundaries [Koslicki]
     Full Idea: The reason we have a hard time counting the branches and the waves is because our concepts 'branches on the tree' and 'waves on the ocean' do not determine sufficiently precise boundaries: the concepts do not draw a clear invisible line around each thing.
     From: Kathrin Koslicki (Isolation and Non-arbitrary Division [1997], 2.2)
     A reaction: This is the 'isolation' referred to in Frege.
7. Existence / C. Structure of Existence / 8. Stuff / a. Pure stuff
We talk of snow as what stays the same, when it is a heap or drift or expanse [Koslicki]
     Full Idea: Talk of snow concerns what stays the same when some snow changes, as it might be, from a heap of snow to a drift, to an expanse.
     From: Kathrin Koslicki (Isolation and Non-arbitrary Division [1997], 2.2)
     A reaction: The whiteness also stays the same, but isn't stuff.
24. Political Theory / B. Nature of a State / 2. State Legitimacy / c. Social contract
Even the poorest have a life to lead, and so should consent to who governs them [-]
     Full Idea: For really I think that the poorest hee that is in England hath a life to live, as the greatest hee; …and every Man that is to live under a Government ought first by his own Consent to put himself under that Government.
     From: - (The Putney Debates [1647])
     A reaction: [remark made by Thomas Rainsborough] This is the social contract idea which is explicit in Hobbes. I'm sure we can at least trace it back to John Lilburne in the 1630s.
26. Natural Theory / A. Speculations on Nature / 5. Infinite in Nature
Archelaus was the first person to say that the universe is boundless [Archelaus, by Diog. Laertius]
     Full Idea: Archelaus was the first person to say that the universe is boundless.
     From: report of Archelaus (fragments/reports [c.450 BCE]) by Diogenes Laertius - Lives of Eminent Philosophers 02.Ar.3
27. Natural Reality / G. Biology / 3. Evolution
Archelaus said life began in a primeval slime [Archelaus, by Schofield]
     Full Idea: Archelaus wrote that life on Earth began in a primeval slime.
     From: report of Archelaus (fragments/reports [c.450 BCE]) by Malcolm Schofield - Archelaus
     A reaction: This sounds like a fairly clearcut assertion of the production of life by evolution. Darwin's contribution was to propose the mechanism for achieving it. We should honour the name of Archelaus for this idea.